GCD of 308, 802, 758, 357 Calculator

Given Input numbers are 308, 802, 758, 357

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 308, 802, 758, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 802, 758, 357 is 1.

Therefore, GCD of numbers 308, 802, 758, 357 is 1

Given Input Data is 308, 802, 758, 357

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 802 is 2 x 401

Prime Factorization of 758 is 2 x 379

Prime Factorization of 357 is 3 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(308, 802) = 123508

GCD(308, 802) = ( 308 x 802 ) / 123508

GCD(308, 802) = 247016 / 123508

GCD(308, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

GCD of 308, 802, 758, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 211, 615, 538
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• GCD of 316, 184, 202, 928

1. What is the GCD of 308, 802, 758, 357?

GCD of 308, 802, 758, 357 is 1

2. Where do I get the detailed procedure to find GCD of 308, 802, 758, 357?

You can find a detailed procedure to find GCD of 308, 802, 758, 357 on our page.

3. How to find GCD of 308, 802, 758, 357 on a calculator?

You can find the GCD of 308, 802, 758, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.